Final Examination in MATH 153 - Part 1 (Elements)

For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?

• odd symmetry
• even symmetry
• Rotational symmetry
• Quarter-wave symmetry

Naperian logarithm have a base closest to which number?

• 2.17
• 2.72
• 3.14
• 10

To find the angle of the triangle given only the lengths of the _____.

• the law of cosines
• the law of sines
• the law of tangents
• the inverse-square law

What is the inverse natural function of the cosecant?

• secant
• sine
• cosine
• cotangent

A statement of truth of which follows with little or no proof from a theorem.

• Axiom
• Hypothesis
• Corollary
• Conclusion

A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.

• Histogram
• Ogive
• Frequency of distribution
• Bar graph

Convergent series is a sequence of decreasing number or when the succeeding term is _____ the preceding term.

• greater than
• equal to
• lesser than
• none of the above

A and B are independent events. The probability that event A will occur is Pa and the probability that A and B will occur is Pab. From these two statements, what is the probability that event B will occur?

• Pa - Pb
• Pb - Pab
• Pa x Pb
• Pab/Pa

In any square matrix, when the elements of any two rows are exactly the same, the determinant is _____.

• zero
• positive integer
• negative integer
• unity

Is a sequence of terms whose reciprocals form an arithmetic progression?

• geometric progression
• harmonic progression
• algebraic progression
• ratio and proportion